I am struggling to understand contour integration. How would it be applied in Mathematica? I am hoping that if I see it written in Mathematica code, it will help me understand it. eg how would $$\int_\gamma \text{}(z) = \int_a^b \text{f}(z(t)) z'(t) \, \text{d}t$$ be coded? (Example taken form Wikipedia.)
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It's basically a line integral of a scalar function of two variables along a path, $\gamma$ in your case. Do you not understand what it is conceptually or practically? – acl May 28 '14 at 20:29
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Conceptually, I'm afraid. I looked at this but I don't really understand it. – martin May 28 '14 at 20:30
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Is my first stop MSE? (I was rather hoping not - I think it may be easier to pick apart if I see the coding.) – martin May 28 '14 at 20:31
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Hmm, I wish I had some time to explain it (it's probably easy once you get it). How about the first figure/animation here, ie, this? Any clearer what is going on? – acl May 28 '14 at 20:32
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OK, so it is the absolute area under a line in a 3-dimensional field? – martin May 28 '14 at 20:35
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I just don't get the whole "converging in disc $x$" business. – martin May 28 '14 at 20:37
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@martin so this is rather math.SE quesion, isn't it? – Kuba May 28 '14 at 20:37
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Yes - I think you are probably right - will come back here once I understand a little more ... – martin May 28 '14 at 20:38
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I just saw (after closing) that you're already aware of the contour integral question (which has a very good answer by Artes). From the rest of the comments, it seems like your question/confusion is more conceptual and I suggest asking it at [math.se], where you might get an indepth/layman explanation. – rm -rf May 28 '14 at 20:38
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OK, thank you., – martin May 28 '14 at 20:39